DOI: 10.1063/1.1672157. Limiting Laws and Counterion Condensation in Polyelectrolyte Solutions I. Colligative Properties

Limiting Laws and Counterion Condensation in Polyelectrolyte Solutions I. Colligative Properties

10.1063/1.1672157

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

Formulas are derived for the osmotic coefficient, the Donnan salt-exclusion factor, and the mobile-ion activity coefficients in a polyelectrolyte solution with or without added sample salt. The formulas, which contain no adjustable parameters, are based on the (theoretical) observation by several workers that counterions will “condense” on the polyion until the charge density on the polyion is reduced below a certain critical value. The uncondensed mobile ions are treated in the Debye–Hückel approximation. In a restricted sense, the formulas are “limiting laws,” and this aspect is discussed at length. Detailed comparison with experimental data in the literature is given; agreement of the theory with experiment is usually found to be quantitative.

Bibliography

Manning, G. S. (1969). Limiting Laws and Counterion Condensation in Polyelectrolyte Solutions I. Colligative Properties. The Journal of Chemical Physics, 51(3), 924â933.

Authors 1

Gerald S. Manning (first)

References 33 Referenced 2,740

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Dates

Type	When
Created	21 years, 6 months ago (Feb. 6, 2004, 2:22 p.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 12:44 a.m.)
Indexed	13 hours, 4 minutes ago (Aug. 23, 2025, 1 a.m.)
Issued	56 years ago (Aug. 1, 1969)
Published	56 years ago (Aug. 1, 1969)
Published Print	56 years ago (Aug. 1, 1969)

Funders 0

None

BibTeX

@article{Manning_1969, title={Limiting Laws and Counterion Condensation in Polyelectrolyte Solutions I. Colligative Properties}, volume={51}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1672157}, DOI={10.1063/1.1672157}, number={3}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Manning, Gerald S.}, year={1969}, month=aug, pages={924–933} }

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